Ratios and Rates

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

To find the unit rate, divide the total distance by the total time.

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Two ratios are equivalent if their cross products are equal.

The ratio of triangles to squares is 1:3.

To find the number of people per bus, divide 190 by 3, which is approximately 63.33 people per bus.

To calculate the number of buses needed, divide the total number of people by the number of people that fit in one bus and round up to the nearest whole number.

An incorrectly written ratio might be 'X and Y' without a clear relationship or numerical values.